Special Session 146: Nonlinear differential equations: control, delay, and boundary value problems

On semilinear non autonomous nonlocal equations
Maria Rosaria Lancia
Sapienza Universit\`a di Roma
Italy
Co-Author(s):    Simone Creo
Abstract:
I will explore non-autonomous fractional (in space and/or time) semilinear BVPS, possibly in irregular domains. The focus will be on well-posedness and regularity results for the mild solutions of the corresponding semilinear Cauchy problem, via the evolution family U(t, s). I will also present results on the ultracontractivity properties of the evolution family and discuss some applications and open problems.